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SpECTRE
v2024.04.12
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An element of dimension ElementDim on the boundary of a hypercube of dimension HypercubeDim
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#include <Hypercube.hpp>
Public Member Functions | |
| HypercubeElement (std::array< size_t, ElementDim > dimensions_in_parent, std::array< Side, HypercubeDim - ElementDim > index) | |
| template<size_t LocalElementDim = ElementDim, Requires< LocalElementDim==0 > = nullptr> | |
| HypercubeElement (std::array< Side, HypercubeDim > index) | |
| template<typename... Indices, size_t LocalElementDim = ElementDim, size_t LocalHypercubeDim = HypercubeDim, Requires<(LocalElementDim==0 and LocalHypercubeDim > 0 and sizeof...(Indices)==LocalHypercubeDim)> = nullptr> | |
| HypercubeElement (Indices... indices) | |
| template<size_t LocalElementDim = ElementDim, Requires< LocalElementDim==1 > = nullptr> | |
| HypercubeElement (size_t dim_in_parent, std::array< Side, HypercubeDim - 1 > index) | |
| bool | operator== (const HypercubeElement &rhs) const |
| bool | operator!= (const HypercubeElement &rhs) const |
| const std::array< size_t, ElementDim > & | dimensions_in_parent () const |
| The parent hypercube's dimensions that this element shares. | |
| template<size_t LocalElementDim = ElementDim, Requires< LocalElementDim==1 > = nullptr> | |
| size_t | dimension_in_parent () const |
| The parent hypercube's dimensions that this element shares. | |
| const std::array< Side, HypercubeDim - ElementDim > & | index () const |
| Whether this element is located on the lower or upper side in those dimensions that it does not share with its parent hypercube. | |
| const Side & | side_in_parent_dimension (size_t d) const |
| Whether this element is located on the lower or upper side in those dimensions that it does not share with its parent hypercube. | |
| template<size_t NumIndices = HypercubeDim - ElementDim, Requires< NumIndices==1 > = nullptr> | |
| const Side & | side () const |
| Whether this element is located on the lower or upper side in those dimensions that it does not share with its parent hypercube. | |
An element of dimension ElementDim on the boundary of a hypercube of dimension HypercubeDim
A hypercube of dimension \(n\) (HypercubeDim) is composed of \(2^{n-k}\binom{n}{k}\) elements of dimension \(k \leq n\) (ElementDim). For example, a 3D cube has 8 vertices ( \(k=0\)), 12 edges ( \(k=1\)), 6 faces ( \(k=2\)) and 1 cell ( \(k=3\)). Each element is identified by the \(k\) dimensions it shares with the parent hypercube and \(n - k\) indices that specify whether it is located on the lower or upper side of the parent hypercube's remaining dimensions.